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$3$ tins of beans and $4$ tins of tomatoes costs $\pounds 2.73$ , and $5$ tins of beans costs $\pounds 1.55$ . $\newline$ Work out how much one tin of tomatoes costs.

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Add and subtract money amounts: word problems

Full solution

Q.

3

tins of beans and

4

tins of tomatoes costs

\pounds 2.73

, and

5

tins of beans costs

\pounds 1.55

.

\newline

Work out how much one tin of tomatoes costs.

Set up equations: Step $1$ : Set up equations based on the given information. $\newline$ Equation $1$ : $3B + 4T = \pounds2.73$ ( $3$ tins of beans and $4$ tins of tomatoes cost $\pounds2.73$ ) $\newline$ Equation $2$ : $5B = \pounds1.55$ ( $5$ tins of beans cost $\pounds1.55$ )
Solve Equation $2$ : Step $2$ : Solve Equation $2$ for $B$ (price of one tin of beans). $\newline$ $5B = £1.55$ $\newline$ $B = £1.55 / 5$ $\newline$ $B = £0.31$
Substitute value in Equation $1$ : Step $3$ : Substitute the value of $B$ in Equation $1$ . $\newline$ $3(\pounds0.31) + 4T = \pounds2.73$ $\newline$ $\pounds0.93 + 4T = \pounds2.73$ $\newline$ $4T = \pounds2.73 - \pounds0.93$ $\newline$ $4T = \pounds1.80$
Solve for T: Step $4$ : Solve for T (price of one tin of tomatoes). $\newline$ $T = \frac{\pounds 1.80}{4}$ $\newline$ $T = \pounds 0.45$

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