Question

Jervane is planning on buying a coffee and several donuts for a road trip. She wants to spend no more than $20 in total. Coffee costs $3 and donuts are $2 each. Write and solve an inequality to determine the maximum number of donuts that Jervane can buy. Be sure to include units on your answer.

Answer 1

8

Explanation:

Given:

Total money Jervane can spend = $20.

Cost of a coffee = $3.

Cost of a donut = $2.

To find: Maximum number of donuts Jervane can buy.

Solution:

Let the number of donuts she can buy be
`x`.

She wants to spend no more than $20 in total.

So,

`3+2x\leq 20`

`\Rightarrow 2x\leqslant 20-3`

`\Rightarrow 2x\leqslant 17`

`\Rightarrow x\leqslant (17)/(2)`

`\Rightarrow x\leqslant 8 (1)/(2)`

As the number of donuts can only be a natural number.

Hence, the maximum number of donuts that Jervane can buy are 8.