Question

1 john and karen are each saving money at their own constant rate. when john has saved $15, karen has saved $18. how much will karen have saved when john has saved $45?
find the area.
2
(diagram: a composite figure with length 19 ft, top length 15 ft, height 7 ft, and a smaller rectangle with height 4 ft)
a = ______
3
(diagram: a composite figure with a triangle and trapezoid, dimensions 3 yd, 5 yd, 4 yd, 2 yd, 8 yd)
a = ______
4
(diagram: a composite figure with a triangle and rectangle, dimensions 15 m, 12 m, 13 m, 18 m, 10 m)
a = ______

Explanation:

Step1: Find the ratio

When John has saved $15$, Karen has saved $18$. The ratio of John's savings to Karen's savings is $\frac{15}{18}=\frac{5}{6}$.

Step2: Use the ratio for new amount

Let $x$ be the amount Karen has saved when John has saved $45$. We have the proportion $\frac{5}{6}=\frac{45}{x}$. Cross - multiply: $5x = 6\times45$.

Step3: Solve for $x$

$5x=270$, then $x=\frac{270}{5}=54$.

Answer:

$54$