Question

Samantha visits her local farmers market to buy apples and oranges to make a fruit salad. She has $10.00 to spend. I need help with 19-21!

Answer 1

19 . Given,

The price of each apple = $ 0.26

Let x be the number apples she bought,

So, the amount she spent = 0.26x dollars

According to the question,

0.26x = 10

⇒ x =
`(10)/(0.26)` = 38.46 ≈ 38,

Hence, she can buy 38 apples,

20. The price of each orange = $ 0.38,

Let y be the number of oranges she bought,

So, the amount she spent = 0.38x

Again according to the question,

0.38x = 10,

⇒ x =
`(10)/(0.38)` = 26.32 ≈ 26

Hence, she can bought 26 oranges,

21. If she bought b apples and a oranges,

Total spending amount = 0.38a + 0.26b

⇒ 0.38a + 0.26b = 10

if a = 1, 0.26b = 9 ⇒ b ≈ 35,

if a = 2, 0.26b = 8 ⇒ b ≈ 31

So, she can buy 1 orange 35 apples or 2 oranges 31 apples.

Answer 2

19: .26 x 38 = 9.88 so answer is 38.
20: .38 x 26 = 9.88 so answer is 26.
21: apples: .26 x 19 = 4.94 so answer is 19
oranges: .38 x 13 = 4.94 so answer is 13