Question

How do you do this? Please help

Answer 1

Answer:

36 pencils

Step-by-step explanation:

Let h and p represent the number of highlighters and the number of pencils, respectively.

Then h + p = 45, and h = 45 - p.

Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.

substituting 45 - p for h in 2h + 0.333p = 30, we get:

2(45 - p) + 0.333p = 30, or

90 - 2p + 0.333p = 30

Combine the constants:  60 = 2p - 0.333p, or 60 = 1.667p

Then p = 60/1.667 = 35.9928, or 36.

Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30.  This shows that these calculations are correct.

Answer 2

Answer:

Highlighters = 9

Pencils = 36

Step-by-step explanation:

I see the boxes that you drew, do I assume that you want to do "guess and check" method?

Guess and check:

Number of highlighters is less than 10.

Try:

Highlighter = 6

Pencil = 45 - 5 = 39

Cost of highlighter = 6 x 2 = $12

Cost of pencils = 39 ÷ 3 = $13

$12 + 13 = $25 (incorrect)

Try:

Highlighter = 9

Pencil = 45 - 9 = 36

Cost of highlighter = 9 x 2 = $18

Cost of pencils = 36 ÷ 3 = $12

$18 + 12 = $30 (Correct)