QuestionCharles has 5 times Denise's stickers. After giving 32 stickers to Denise, they have equal amounts. Find their total stickers.

Studdy Solution

STEP 1

Assumptions1. The number of stickers owned by Charles is5 times that owned by Denise. . If Charles gives32 stickers to Denise, they will have the same number of stickers.

STEP 2

Let's denote the number of stickers owned by Denise as D. Then the number of stickers owned by Charles is5.

STEP 3

According to the problem, if Charles gives32 stickers to Denise, they will have the same number of stickers. This can be written as an equation $5 -32 = D +32$

STEP 4

Now, we can simplify this equation by subtracting D from both sides $- D =32 +32$

STEP 5

This simplifies to $4 =64$

STEP 6

Now, we can solve for D by dividing both sides of the equation by4 $=64 /4$

STEP 7

Calculate the value of D $=64 /4 =16$ So, Denise has16 stickers.

STEP 8

Now that we know the number of stickers owned by Denise, we can find the number of stickers owned by Charles. According to the problem, Charles has5 times the number of stickers owned by Denise. This can be written as an equation $C =5$

STEP 9

Plug in the value of D into the equation $C =5 \\times16$

STEP 10

Calculate the value of C $C =5 \\times16 =80$ So, Charles has80 stickers.

STEP 11

To find the total number of stickers owned by Charles and Denise, we add the number of stickers owned by each of them $Total\, number\, of\, stickers = C + D$

STEP 12

Plug in the values of C and D into the equation $Total\, number\, of\, stickers =80 +16$

STEP 13

Calculate the total number of stickers $Total\, number\, of\, stickers =80 +16 =96$ So, the total number of stickers owned by Charles and Denise is96.

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QuestionCharles has 5 times Denise's stickers. After giving 32 stickers to Denise, they have equal amounts. Find their total stickers.

Studdy Solution

STEP 1

Assumptions1. The number of stickers owned by Charles is5 times that owned by Denise. . If Charles gives32 stickers to Denise, they will have the same number of stickers.

STEP 2

Let's denote the number of stickers owned by Denise as D. Then the number of stickers owned by Charles is5.

STEP 3

According to the problem, if Charles gives32 stickers to Denise, they will have the same number of stickers. This can be written as an equation $5 -32 = D +32$

STEP 4

Now, we can simplify this equation by subtracting D from both sides $- D =32 +32$

STEP 5

This simplifies to $4 =64$

STEP 6

Now, we can solve for D by dividing both sides of the equation by4 $=64 /4$

STEP 7

Calculate the value of D $=64 /4 =16$ So, Denise has16 stickers.

STEP 8

Now that we know the number of stickers owned by Denise, we can find the number of stickers owned by Charles. According to the problem, Charles has5 times the number of stickers owned by Denise. This can be written as an equation $C =5$

STEP 9

Plug in the value of D into the equation $C =5 \\times16$

STEP 10

Calculate the value of C $C =5 \\times16 =80$ So, Charles has80 stickers.

STEP 11

To find the total number of stickers owned by Charles and Denise, we add the number of stickers owned by each of them $Total\, number\, of\, stickers = C + D$

STEP 12

Plug in the values of C and D into the equation $Total\, number\, of\, stickers =80 +16$

STEP 13

Calculate the total number of stickers $Total\, number\, of\, stickers =80 +16 =96$ So, the total number of stickers owned by Charles and Denise is96.

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QuestionCharles has 5 times Denise's stickers. After giving 32 stickers to Denise, they have equal amounts. Find their total stickers.

Studdy Solution

STEP 1

Assumptions1. The number of stickers owned by Charles is5 times that owned by Denise. . If Charles gives32 stickers to Denise, they will have the same number of stickers.

STEP 2

Let's denote the number of stickers owned by Denise as D. Then the number of stickers owned by Charles is5.

STEP 3

According to the problem, if Charles gives32 stickers to Denise, they will have the same number of stickers. This can be written as an equation5−32=D+325 -32 = D +325−32=D+32

STEP 4

Now, we can simplify this equation by subtracting D from both sides−D=32+32 - D =32 +32−D=32+32

STEP 5

This simplifies to4=644 =644=64

STEP 6

Now, we can solve for D by dividing both sides of the equation by4=64/4 =64 /4=64/4

STEP 7

Calculate the value of D=64/4=16 =64 /4 =16=64/4=16So, Denise has16 stickers.

STEP 8

Now that we know the number of stickers owned by Denise, we can find the number of stickers owned by Charles. According to the problem, Charles has5 times the number of stickers owned by Denise. This can be written as an equationC=5C =5C=5

STEP 9

Plug in the value of D into the equationC=5times16C =5 \\times16C=5times16

STEP 10

Calculate the value of CC=5times16=80C =5 \\times16 =80C=5times16=80So, Charles has80 stickers.

STEP 11

To find the total number of stickers owned by Charles and Denise, we add the number of stickers owned by each of themTotal number of stickers=C+DTotal\, number\, of\, stickers = C + DTotalnumberofstickers=C+D

STEP 12

Plug in the values of C and D into the equationTotal number of stickers=80+16Total\, number\, of\, stickers =80 +16Totalnumberofstickers=80+16

STEP 13

Calculate the total number of stickersTotal number of stickers=80+16=96Total\, number\, of\, stickers =80 +16 =96Totalnumberofstickers=80+16=96So, the total number of stickers owned by Charles and Denise is96.

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According to the problem, if Charles gives32 stickers to Denise, they will have the same number of stickers. This can be written as an equation $5 -32 = D +32$

Now, we can simplify this equation by subtracting D from both sides $- D =32 +32$

This simplifies to $4 =64$

Now, we can solve for D by dividing both sides of the equation by4 $=64 /4$

Calculate the value of D $=64 /4 =16$ So, Denise has16 stickers.

Now that we know the number of stickers owned by Denise, we can find the number of stickers owned by Charles. According to the problem, Charles has5 times the number of stickers owned by Denise. This can be written as an equation $C =5$

Plug in the value of D into the equation $C =5 \\times16$

Calculate the value of C $C =5 \\times16 =80$ So, Charles has80 stickers.

To find the total number of stickers owned by Charles and Denise, we add the number of stickers owned by each of them $Total\, number\, of\, stickers = C + D$

Plug in the values of C and D into the equation $Total\, number\, of\, stickers =80 +16$

Calculate the total number of stickers $Total\, number\, of\, stickers =80 +16 =96$ So, the total number of stickers owned by Charles and Denise is96.