A winning class group prize pays $1600. This is shared between Peter and Mary in ratio 3:5. How much money does Peter get? (Answer format to include $) ◻

Determine Total Parts: First, we need to determine the total parts in the ratio. The ratio given is 3:5, which means there are 3 parts for Peter and 5 parts for Mary. Total parts = Peter's parts + Mary's parts Total parts = 3 + 5 Total parts = 8Calculate Value of One Part: Next, we calculate the value of one part by dividing the total amount of money by the total number of parts. Value of one part = Total amount of money / Total parts Value of one part = $1600 / 8 Value of one part = $200Find Peter's Money: Now, we find out how much money Peter gets by multiplying the value of one part by the number of parts Peter has. Peter's money = Value of one part × Peter's parts Peter's money = $200 × 3 Peter's money = $600

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A winning class group prize pays $1600.
This is shared between Peter and Mary in ratio 3:5.
How much money does Peter get?
(Answer format to include $)
◻

A winning class group prize pays $\$ 1600$ . $\newline$ This is shared between Peter and Mary in ratio $3$ : $5$ . $\newline$ How much money does Peter get? $\newline$ (Answer format to include $\$$ ) $\newline$ $\square$

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Math Problems

Grade 6

Evaluate variable expressions: word problems

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Q. A winning class group prize pays

\$ 1600

\newline

This is shared between Peter and Mary in ratio

3

5

\newline

How much money does Peter get?

\newline

(Answer format to include

\$

)

\newline

\square

Determine Total Parts: First, we need to determine the total parts in the ratio. The ratio given is $3:5$ , which means there are $3$ parts for Peter and $5$ parts for Mary. $\newline$ Total parts = Peter's parts + Mary's parts $\newline$ Total parts = $3 + 5$ $\newline$ Total parts = $8$
Calculate Value of One Part: Next, we calculate the value of one part by dividing the total amount of money by the total number of parts. $\newline$ Value of one part = Total amount of money / Total parts $\newline$ Value of one part = $\$1600 / 8$ $\newline$ Value of one part = $\$200$
Find Peter's Money: Now, we find out how much money Peter gets by multiplying the value of one part by the number of parts Peter has. $\newline$ Peter's money = Value of one part $\times$ Peter's parts $\newline$ Peter's money = $\$(200) \times 3$ $\newline$ Peter's money = $\$(600)$