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Question13. Ricardo spent half his allowance on supplies, then \5.25onasnack,leavinghimwith$22.50.Findhisallowance5.25 on a snack, leaving him with \$22.50. Find his allowance a$.
14. Liza earned money caring for a pet, spent \1.95onadrink,$30onaconcertticket,$7.20onaring,andhas$38.50left.Find1.95 on a drink, \$30 on a concert ticket, \$7.20 on a ring, and has \$38.50 left. Find m$.
15. Henry bought dog treats, set aside 10, and gave 15 dogs 4 treats each. Find the total treats tt in the package.

Studdy Solution

STEP 1

Assumptions for problem131. Ricardo spent half of his allowance on school supplies. . He bought a snack for 5.25.<br/>3.Whenhearrivedhome,hehad5.25.<br />3. When he arrived home, he had 22.50 left.
4. We are asked to find the total allowance, aa.

STEP 2

Let's write an equation to represent the problem. The total allowance is equal to twice the amount spent on school supplies (since he spent half his allowance on supplies), plus the cost of the snack, plus the amount he had left.
a=2⋅(a/2−5.25)+22.50a =2 \cdot (a/2 -5.25) +22.50

STEP 3

implify the equation.
a=a−10.50+22.50a = a -10.50 +22.50

STEP 4

olve the equation for aa.
a=12.00a =12.00So, Ricardo's allowance was $12.00.

STEP 5

Assumptions for problem141. Liza earned some money by taking care of her neighbor's pet.
2. She bought a drink for 1.95,aconcertticketfor1.95, a concert ticket for 30, and a ring for 7.20.<br/>3.Shethenspenttwo−thirdsoftheremainingmoneyonawirelessspeaker.<br/>4.Lizahas7.20.<br />3. She then spent two-thirds of the remaining money on a wireless speaker.<br />4. Liza has 38.50 left.
5. We are asked to find the total money earned, mm.

STEP 6

Let's write an equation to represent the problem. The total money earned is equal to the cost of the drink, plus the cost of the concert ticket, plus the cost of the ring, plus twice the cost of the speaker (since she spent two-thirds of her remaining money on the speaker), plus the money she has left.
m=1.95+30+.20+2⋅((m−1.95−30−.20)/3)+38.50m =1.95 +30 +.20 +2 \cdot ((m -1.95 -30 -.20)/3) +38.50

STEP 7

implify the equation.
m=39.15+2/3⋅(m−39.15)+38.50m =39.15 +2/3 \cdot (m -39.15) +38.50

STEP 8

olve the equation for mm.
m=77.65m =77.65So, Liza earned $77.65.

STEP 9

Assumptions for problem15. Henry works at a pet shelter after school.
2. He purchases a large package of dog treats.
3. He sets aside treats and distributes the rest equally among the15 dogs in the shelter.
4. Each dog received4 treats.
5. We are asked to find the total number of treats, tt.

STEP 10

Let's write an equation to represent the problem. The total number of treats is equal to the number of treats set aside, plus the number of treats each dog received times the number of dogs.
t=10+4⋅15t =10 +4 \cdot15

STEP 11

olve the equation for tt.
t=70t =70So, the original package contained70 treats.

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