Jasmine and Daniel each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Jasmine spent $145 on 13 square feet of grass and 9 geraniums. Daniel spent $100 on 4 square feet of grass and 12 geraniums. What is the cost of 1 square foot of grass and 1 geranium?

Question

Mathematics

Loser

20 April, 05:44

Jasmine and Daniel each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Jasmine spent $145 on 13 square feet of grass and 9 geraniums. Daniel spent $100 on 4 square feet of grass and 12 geraniums. What is the cost of 1 square foot of grass and 1 geranium?

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Answers (1)

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Adam · Answer 1

Cost of 1 ft²: $7

Cost of 1 ft² of geranium: $6

Step-by-step explanation:

Let x be the cost of a ft² of grass

Let y be the cost of a ft² of geranium

13x + 9y = 145

4x + 12y = 100

x + 3y = 25

x = 25 - 3y

13 (25 - 3y) + 9y = 145

325 - 39y + 9y = 145

180 = 30y

y = 6

x = 25 - 3 (6)

x = 7