# linear equation word problems

```1. Roger gets \$40 per day as wages and \$4.50 as commission for every pair of shoes he sells in a day. His
daily earnings goal is \$112.
Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily
earnings goal. Find the number of pairs of shoes he must sell to meet his daily earnings goal.
2.
In winter, the price of apples suddenly went up by \$0.75 pound. Sam bought 3 pounds of apples at the
new price for a total of \$5.88.
Write an equation to determine the original price per pound p.
Find the original price per pound.
3. Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The
total weight of Carl's baggage is 35kg.
Write an equation to determine the weight, w, of each of Carl's checked bags.
Find the weight of each of his checked bags.
4. Last month, Margo bought a tree that grows 2.5 cm each day. It was 5 cm tall when she bought it and now it
is 180 cm tall. Write an equation to determine the number of days (d) Margo has owned the plant.
Find the number of days Margo has owned the plant.
40 +4.50p = 112 p=16
3(p+75) = 5.88 p = 1.21
2w + 4 = 35 w = 15.5
2.5d + 5 = 180 d = 70
```
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