Question A bag has red and blue counters in the ratio $5:2$ , with a total of 28 counters. Find the number of red counters.

Studdy Solution

STEP 1

Assumptions1. The ratio of red to blue counters is5. The total number of counters is283. The ratio represents the exact distribution of the counters in the bag

STEP 2

First, we need to find the total parts in the ratio. We can do this by adding the two parts of the ratio together.
$Total\, parts = Red\, parts + Blue\, parts$

STEP 3

Now, plug in the given values for the red parts and blue parts to calculate the total parts.
$Total\, parts =5 +2$

STEP 4

Calculate the total parts in the ratio.
$Total\, parts = +2 =7$

STEP 5

Now that we have the total parts in the ratio, we can find the value of each part. We do this by dividing the total number of counters by the total parts.
$Value\, of\, each\, part = Total\, counters / Total\, parts$

STEP 6

Plug in the values for the total counters and the total parts to calculate the value of each part.
$Value\, of\, each\, part =28 /$

STEP 7

Calculate the value of each part.
$Value\, of\, each\, part =28 /7 =4$

STEP 8

Now that we have the value of each part, we can find the number of red counters. We do this by multiplying the value of each part by the number of red parts in the ratio.
$Red\, counters = Value\, of\, each\, part \\times Red\, parts$

STEP 9

Plug in the values for the value of each part and the red parts to calculate the number of red counters.
$Red\, counters =4 \\times5$

STEP 10

Calculate the number of red counters.
$Red\, counters =4 \\times5 =20$ There are20 red counters.

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