Question

Harry went to the bakery with $50 to buy cupcakes and fruit tarts. One cupcake costs $3.50 and one fruit tart costs $3. Harry bought 8 cupcakes and x fruit tarts. Write an inequality that expresses the relationship between the total number of cupcakes and fruit tarts Harry can buy the amount of money he has

Answer 1

`28+3x\leq 50`

Explanation:

We are given the following in the question:

Cost of one cupcake = $3.50

Cost of one fruit tart = $3

Total money Harry have = $50

Harry bought 8 cupcakes and
`x` fruit tarts.

We have to write the inequality giving relation between the total number of cupcakes and fruit tarts Harry can buy the amount of money he has.

Total cost of purchase =

= Total cost of cupcakes + Total cost of fruit tarts

`=(8* 3.50) + (x * 3)\\=28 + 3x`

Now, this total cost of Harry's purchase should be less than than equal to $50.

`28+3x\leq 50`

is the required linear inequality.