Question

Sophia buys a mixed bunch of flowers for $15. Then she buys roses for $3 each and tulips for $2 each. Write an algebraic expression that can be used to find the total amount of money Sophia will spend on flowers if she buys any number of roses, r, and any number of tulips, p. Then find the total amount of money Sophia will spend on flowers if she buys 7 roses and 4 tulips.

a) Total cost = 3r + 2p; Total cost = $29
b) Total cost = 3r + 2p; Total cost = $31
c) Total cost = 2r + 3p; Total cost = $29
d) Total cost = 2r + 3p; Total cost = $31

Answer 1

The total amount Sophia spends is calculated with the algebraic expression $15 + 3r + 2p, where r is the number of roses and p is the number of tulips. Buying 7 roses and 4 tulips results in a total cost of $44.

Step-by-step explanation:

The algebraic expression to find the total amount of money Sophia will spend on flowers, given any number of roses (r) and tulips (p), is 3r + 2p plus an initial $15 for the mixed bunch. We add the initial cost to the expression representing the cost of additional flowers. So, the expression including the initial cost becomes $15 + 3r + 2p.

If Sophia buys 7 roses and 4 tulips, we substitute these values into our expression: $15 + 3(7) + 2(4) = $15 + 21 + 8 = $44. Therefore, the total cost Sophia will spend is $44.