A grocery store is offering a promotion where a customer receives a $0.20 discount per item on selected sale items, and Paulo has a coupon where he receives $0.10 off regularly priced items.

Before applying the discounts, the cost of Paulo's sale items was $61.96 and the cost of Paulo's regularly priced items was $43.30. After applying the discounts, Paulo spent $97.66 on both the sale items and regularly priced items.

If Paulo bought 11 more sale items than regular items, how many items did he buy in all?

A. 18

B. 29

C. 40

D. 47

Question

Byrd

Mathematics

Today, 08:15

A grocery store is offering a promotion where a customer receives a $0.20 discount per item on selected sale items, and Paulo has a coupon where he receives $0.10 off regularly priced items.

Before applying the discounts, the cost of Paulo's sale items was $61.96 and the cost of Paulo's regularly priced items was $43.30. After applying the discounts, Paulo spent $97.66 on both the sale items and regularly priced items.

If Paulo bought 11 more sale items than regular items, how many items did he buy in all?

A. 18

B. 29

C. 40

D. 47

+5

Answers (1)

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Taniyah Bradford · Answer 1

A. 18

Step-by-step explanation:

Sales item = x

Regular items = y

X = y + 11

Y = x-11

x (61.96 - (61.96) (0.2)) + y (43.3 - (43.3) (0.1)) = 97.66

49.568x + 38.97y = 97.66

49.568x + 38.97 (x-11) = 97.66

88.538x = 526.33

X = 5.9

5.9+11 = 16.9

Approximately 18