Question

Write inequality and solve

Answer 1

$46.15

Explanation:

Given information:

• Maximum spend = $50
• Cost of juice = $2 (inc tax)
• Sales tax on jeans = 4%

Define the variable:

• Let x be the price of the jeans (without tax).

Convert 4% into a decimal:

`\implies 4\%=(4)/(100)=0.04`

Therefore, the sum of the cost of the juice, the price of the jeans and the sales tax on the jeans must be equal to or less than $50:

`\implies 2+x+0.04x\leq 50`

`\implies 2+1.04x\leq 50`

Solving the inequality:

`\implies 2+1.04x\leq 50`

`\implies 2+1.04x-2\leq 50-2`

`\implies 1.04x\leq 48`

`\implies (1.04x)/(1.04)\leq (48)/(1.04)`

`\implies x\leq 46.15384615`

Therefore, the maximum price of the jeans Juan can afford is $46.15 (not including sales tax).