Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Johnson spent $44.40 and Ms. Richards spent $53.75.

How much does a cupcake cost?

$

How much does a drink cost?

$

Question

Mathematics

Boyer

22 January, 10:15

Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Johnson spent $44.40 and Ms. Richards spent $53.75.

How much does a cupcake cost?

$

How much does a drink cost?

$

+1

Answers (1)

Know the Answer?

Isiah Burke · Answer 1

Cupcakes = c

Drinks = d

22 c + 30d = $44.40 ... eqn 1

30c + 35d = $53.75 ... eqn 2

Multiply eqn 1 by 7 and eqn 2 by 6

154c + 210d = $310.80 ... eqn 3

180c + 210d = $322.5 ... eqn 4

Eqn 4 - eqn 3

26 c = $11.70

C = 11.7/26 = 45c

Subst c = 45c in eqn 1

$9.90 + 30d = $44.40

d = ($44.40-$9.90) / 30 = $1.15

Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Johnson spent $44.40 and Ms. Richards spent $53.75.How much does a cupcake cost?$How much does a drink cost?$

Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Johnson spent $44.40 and Ms. Richards spent $53.75.

How much does a cupcake cost?

$

How much does a drink cost?

$