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06.01.2020 •
Mathematics
Jill and kim each improved their yards by planting hostas and geraniums. they bought their supplies from the same store. jill spent $101 on 11 hostas and 2 geraniums. kim spent $80 on 8 hostas and 2 geraniums. what is the cost of one hosta and one geramium?
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Ответ:
the cost of one hosta is $7
the cost of one geramium is $12
Step-by-step explanation:
Let x represent the cost of one hosta.
Let y represent the cost of one geramium.
They bought their supplies from the same store. Jill spent $101 on 11 hostas and 2 geraniums. This means that
11x + 2y = 101 - - - - - - - -1
Kim spent $80 on 8 hostas and 2 geraniums. This means that
8x + 2y = 80 - - - - - - - - -2
We will eliminate y by subtracting equation 2 from equation 1, it becomes
3x = 21
x = 21/3 = 7
Substituting x = 7 into equation 2, it becomes
8 × 7 + 2y = 80
56 + 2y = 80
2y = 80 - 56 = 24
y = 24/2 = 12
Ответ: