## Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to $5.70 Question Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to$ 5.70.

Unfortunality, he doesn’t have enough money, so he puts back 1 apple and 2

bananas.

The new total is $3.60. What is the cost of 1 apple and the cost of 1 banana? b. Andrea’s budget is$6. If she buys equal number of apples and bananas, then

what is the maximum number of apples and bananas, she can buy?

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2 days 2021-07-22T14:23:06+00:00 1 Answers 0 views 0

a. The price of an apple is $0.5 and that of a banana is$0.8

b. 4

Step-by-step explanation:

Form simultaneous equations from the information.

For 5 apples and 4 bananas, and the total comes to $5.70 this can be; 5 a + 4 b =$5.70———-i

After he puts back 1 apple and 2  bananas, the equation will be;

4 a + 2 b = $3.60 ————-ii Solve the two equations simultaneously as; {5 a + 4 b = 5.70 }4 ———making the a terms equal to eliminate them {4 a + 2 b = 3.60}5 20 a + 16 b = 22.80 ——-subtract the b terms 20 a + 10b = 18.00 6 b = 4.80 b= 4.80/ 6 b=$ 0.8

Using equation i :

5a + 4b =$5.70 5a + 4*0.8 = 5.70 5a + 3.2 = 5.70 5a = 2.5 a = 2.5 / 5 a=$0.5

The price of an apple is $0.5 and that of a banana is$0.8

b.

Let the number of apples be ——x

Let the number of bananas be—–x

This is because the target is equal numbers;

Form an equation for total cost as;

0.5 x + 0.8 x = $6 1.3 x = 6 x = 1.3 / 6 = 4.62 Maximum number of bananas to buy = 4 Maximum number of apples to buy = 4 However, he will have$0.8 remaining