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Adam and Joe each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Adam spent $62 on 10 daylilies and 7 geraniums. Joe spent $68 on 10 daylilies and 8 geraniums. What is the cost of one daylily and the cost of one geranium?

a) Daylily cost: $4, Geranium cost: $6
b) Daylily cost: $6, Geranium cost: $4
c) Daylily cost: $7, Geranium cost: $8
d) Daylily cost: $8, Geranium cost: $7

Answer :

Final answer:

To find the cost of one daylily and one geranium, divide the total cost by the number purchased. Adam spent $62 on 10 daylilies and 7 geraniums, Joe spent $68 on 10 daylilies and 8 geraniums. The cost of one daylily is $4 and one geranium is $6.

Explanation:

To find the cost of one daylily and one geranium, we need to divide the total cost by the number of daylilies and geraniums purchased. Adam spent $62 on 10 daylilies and 7 geraniums, so we divide $62 by 10+7 to get the cost of one daylily and one geranium. Joe spent $68 on 10 daylilies and 8 geraniums, so we divide $68 by 10+8 to get another estimate of the cost. By comparing the two estimates, we can determine the correct cost for each plant.

For Adam: (Cost of 10 daylilies + Cost of 7 geraniums) = $62
(Cost of 1 daylily + Cost of 1 geranium) = $62 ÷ (10+7)
For Joe: (Cost of 10 daylilies + Cost of 8 geraniums) = $68
(Cost of 1 daylily + Cost of 1 geranium) = $68 ÷ (10+8)

By evaluating the expressions, we find that the cost of one daylily is $4 and the cost of one geranium is $6.

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